Kybernetika 41 no. 2, 205-212, 2005

Classes of fuzzy measures and distortion

Ľubica Valášková and Peter Struk


Distortion of fuzzy measures is discussed. A special attention is paid to the preservation of submodularity and supermodularity, belief and plausibility. Full characterization of distortion functions preserving the mentioned properties of fuzzy measures is given.